Bit of battery wrap/cover ripped off

Hello.

So, I broke my smartphone's screen and in order to change it, one of the steps is to remove the battery. It happens that in the process of removing the battery I ripped off a bit of the wrap envolving it.

I already searched for a solution but didnt found it so here I am. The closest I found was people puncturing the batteries and they starting smoke but thats not the case. In my case it's really only a bit of the battery's cover.

Hope someone can tell me if it's dangerous or how could I fix it by wrapping it again and with what matterials or if I just should buy a new battery.

Thanks in advance :)